A vertical cylindrical tank has a constant cross-sectional area of

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A vertical cylindrical tank has a constant cross-sectional area of 0.50 m20.50\,\text{m}^2. A small orifice of area 1.0 cm21.0\,\text{cm}^2 is made at its base. When the depth of water above the orifice is 1.6 m1.6\,\text{m}, what is the speed (magnitude) at which the water level is falling? (a) 2.2 mm s−12.2\,\text{mm}\,\text{s}^{-1} (b) 0.67 mm s−10.67\,\text{mm}\,\text{s}^{-1} (c) 1.1 mm s−11.1\,\text{mm}\,\text{s}^{-1} (d) 6.3 mm s−16.3\,\text{mm}\,\text{s}^{-1}

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